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Optics Letters

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  • Editor: Anthony J. Campillo
  • Vol. 31, Iss. 6 — Mar. 15, 2006
  • pp: 694–696

Centrifugal transformation of the transverse structure of freely propagating paraxial light beams

A. Ya. Bekshaev, M. S. Soskin, and M. V. Vasnetsov  »View Author Affiliations


Optics Letters, Vol. 31, Issue 6, pp. 694-696 (2006)
http://dx.doi.org/10.1364/OL.31.000694


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Abstract

Superpositions of coaxial Laguerre–Gaussian modes with common waists and the same Gaussian envelopes are known to form beams whose transverse structures experience the self-similar transformation during free beam propagation: the beam shape remains the same except for the divergence and rotation around the propagation axis. We show that under certain conditions this transformation can be represented as if every point of the beam cross section performs a centrifugal straight-line fly off.

© 2006 Optical Society of America

OCIS Codes
(070.4690) Fourier optics and signal processing : Morphological transformations
(140.3300) Lasers and laser optics : Laser beam shaping
(260.2160) Physical optics : Energy transfer
(350.5500) Other areas of optics : Propagation

ToC Category:
Diffraction and Gratings

History
Original Manuscript: October 4, 2005
Revised Manuscript: November 25, 2005
Manuscript Accepted: December 5, 2005

Citation
A. Ya. Bekshaev, M. S. Soskin, and M. V. Vasnetsov, "Centrifugal transformation of the transverse structure of freely propagating paraxial light beams," Opt. Lett. 31, 694-696 (2006)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-31-6-694


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References

  1. M. V. Berry, in Physics of Defects (Les Houches Lecture Series Session XXXV), R.Balian, M.Kléman, and J.-P.Poirier, eds. (North-Holland, 1981), p. 453.
  2. M. S. Soskin and M. V. Vasnetsov, Prog. Opt. 42, 219 (2001). [CrossRef]
  3. V. Yu. Bazhenov, M. V. Vasnetsov, and M. S. Soskin, JETP Lett. 52, 429 (1990).
  4. I. V. Basistiy, V. Yu. Bazhenov, M. S. Soskin, and M. V. Vasnetsov, Opt. Commun. 103, 422 (1993). [CrossRef]
  5. L. Allen, M. J. Padgett, and M. Babiker, Prog. Opt. 39, 291 (1999). [CrossRef]
  6. I. Freund, N. Shvartsman, and V. Freilikher, Opt. Commun. 101, 247 (1993). [CrossRef]
  7. M. Berry, in Proc. SPIE 3487, 6 (1998). [CrossRef]
  8. G. Molina-Terriza, E. M. Wright, and L. Torner, Opt. Lett. 26, 163 (2001). [CrossRef]
  9. F. S. Roux, Opt. Commun. 236, 433 (2004). [CrossRef]
  10. F. S. Roux, Opt. Commun. 242, 45 (2004). [CrossRef]
  11. F. S. Roux, J. Opt. Soc. Am. B 21, 664 (2004). [CrossRef]
  12. M. J. Padgett and L. Allen, Opt. Commun. 121, 36 (1995). [CrossRef]
  13. A. Ya. Bekshaev, in Proc. SPIE 3904, 131 (1999). [CrossRef]
  14. A. T. O'Neil, I. MacVicar, L. Allen, and M. J. Padgett, Phys. Rev. Lett. 88, 053601 (2002). [CrossRef] [PubMed]
  15. A. Ya. Bekshaev, M. S. Soskin, and M. V. Vasnetsov, J. Opt. Soc. Am. A 20, 1635 (2003). [CrossRef]
  16. A. Ya. Bekshaev, M. S. Soskin, and M. V. Vasnetsov, J. Opt. A Pure Appl. Opt. 6, S170 (2004). [CrossRef]
  17. A. Ya. Bekshaev, M. S. Soskin, and M. V. Vasnetsov, Opt. Commun. 249, 367 (2005). [CrossRef]
  18. C. N. Alexeyev and M. A. Yavorsky, J. Opt. A Pure Appl. Opt. 7, 416 (2005). [CrossRef]
  19. V. V. Kotlyar, V. A. Soifer, and S. N. Khonina, Pis'ma Zh. Tekh. Fiz. 23, 1 (1997) (in Russian). [CrossRef]
  20. D. V. Skryabin and W. J. Firth, Phys. Rev. E 58, 3916 (1998). [CrossRef]
  21. A. Desyatnikov, C. Denz, and Y. Kivshar, J. Opt. A Pure Appl. Opt. 6, S209 (2004). [CrossRef]
  22. D. Rozas, C. T. Law, and G. A. Swartzlander, Jr., J. Opt. Soc. Am. B 14, 3054 (1997). [CrossRef]
  23. M. S. Soskin, V. N. Gorshkov, M. V. Vasnetsov, J. T. Malos, and N. R. Heckenberg, Phys. Rev. A 56, 4064 (1997). [CrossRef]
  24. G. Indebetouw, J. Mod. Opt. 40, 73 (1993). [CrossRef]
  25. A. Ya. Bekshaev, I. V. Basistiy, V. V. Slyusar, M. S. Soskin, and M. V. Vasnetsov, Ukr. J. Phys. 47, 1035 (2002).
  26. I. V. Basistiy, V. V. Slyusar, M. S. Soskin, M. V. Vasnetsov, and A. Ya. Bekshaev, Opt. Lett. 28, 1185 (2003). [CrossRef] [PubMed]
  27. A. V. Volyar, V. G. Shvedov, and T. A. Fadeeva, Tech. Phys. Lett. 25, 891 (1999). [CrossRef]
  28. J. Leach, M. R. Dennis, J. Courtial, and M. J. Padgett, New J. Phys. 7, 55 (2005). [CrossRef]

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